The number of connected components in double Bruhat cells for nonsimply-laced groups
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- by Michael Gekhtman, Michael Shapiro and Alek Vainshtein PDF
- Proc. Amer. Math. Soc. 131 (2003), 731-739 Request permission
Abstract:
We compute the number of connected components in a generic real double Bruhat cell for series $B_{n}$ and $C_{n}$ and an exceptional group $F_{4}$.References
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Additional Information
- Michael Gekhtman
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- MR Author ID: 227312
- Email: Michael.Gekhtman.1@nd.edu
- Michael Shapiro
- Affiliation: Matematiska Institutionen, KTH, Stockholm, Sweden
- Address at time of publication: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027
- MR Author ID: 249594
- Email: mshapiro@math.kth.se, mshapiro@math.msu.edu
- Alek Vainshtein
- Affiliation: Departments of Mathematics and of Computer Science, University of Haifa, Israel 31905
- MR Author ID: 192964
- Email: alek@mathcs.haifa.ac.il
- Received by editor(s): May 8, 2001
- Received by editor(s) in revised form: October 25, 2001
- Published electronically: June 12, 2002
- Communicated by: John R. Stembridge
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 731-739
- MSC (2000): Primary 20F55; Secondary 05E15, 14M15
- DOI: https://doi.org/10.1090/S0002-9939-02-06604-2
- MathSciNet review: 1937410